Abstract
The spin-1 Heisenberg model with Dzyaloshinskii–Moriya interaction and in presence of a random magnetic field is studied by using the framework of the two-spin cluster approximation. The formalism is applied to the simple cubic lattice (q=6). At finite temperature, the phase diagrams of the system reveal the presence of tricritical points, implying the presence of second and first-order phase transitions. In addition, the occurrence of fourth-order critical points is also investigated.
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